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Finding the Fourth Proportional to 186,340.04, 257,141.59 and 105,766.10

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Solution

The fourth proportional to 186,340.04, 257,141.59 and 105,766.10 is: 145,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,340.04 : 257,141.59 = 105,766.10 : x
  2. Step 2: Convert to fraction form
    186,340.04/257,141.59 = 105,766.10/x
  3. Step 3: Cross multiply
    186,340.04x = 257,141.59 × 105,766.10
  4. Step 4: Simplify right side
    186,340.04x = 27,196,861,307.56
  5. Step 5: Solve for x
    x = 27,196,861,307.56/186,340.04
  6. Step 6: Final answer
    x = 145,952.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.